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Rama09
1 month ago
10

Toni makes apple pies for the local bakery. When Toni works with an assistant, she produces 60% more apple pies and works 20% fe

wer hours. Having an assistant increases Toni’s output of apple pies per hour by what percent?
Business
2 answers:
stepan [3K]1 month ago
8 0

Respuesta: η = 200 %

Justificación:

Cuando Toni cocina sola produce n tartas en un tiempo t.

Matemáticamente se expresa como:

Producción = Cantidad producida / Tiempo

Producción 1 = n / t  ------------------ Ecuación 1

Al trabajar con un asistente, Toni incrementa su producción en 60% mientras reduce el tiempo en un 20%:

Cantidad = n + 0.6 n = 1.6 n, tiempo = t - 0.2 t = 0.8 t

Producción 2 = 1.6 n / 0.8 t --------------- Ecuación 2

El porcentaje de aumento η es:

η = 100% × (Producción 2 / Producción 1)

η = 100% × (1.6 n / 0.8 t) / (n / t)

η = 200 %

stepan [3K]1 month ago
6 0

Respuesta:

La respuesta es 200%.

Explicación:

Supongamos que Toni produce x tartas de manzana en y horas.

Esto significa que el ritmo de producción es \frac{x}{y} tartas por hora.

Trabajando con un asistente:

Toni incrementa su producción en un 60%, es decir, ahora hace x + 0.6x = 1.6x tartas.

Además, reduce su tiempo trabajando en un 20%, entonces trabaja y - 0.2y = 0.8y horas.

Por lo tanto, la tasa de producción con ayuda es 1.6x / 0.8y = \frac{\frac{1.6x}{0.8y} }{\frac{x}{y} } X 100.

Al simplificar, obtenemos un aumento del 200% en la producción por hora.

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